2x+7-10=3(10x+7)+8

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Solution for 2x+7-10=3(10x+7)+8 equation:


Simplifying
2x + 7 + -10 = 3(10x + 7) + 8

Reorder the terms:
7 + -10 + 2x = 3(10x + 7) + 8

Combine like terms: 7 + -10 = -3
-3 + 2x = 3(10x + 7) + 8

Reorder the terms:
-3 + 2x = 3(7 + 10x) + 8
-3 + 2x = (7 * 3 + 10x * 3) + 8
-3 + 2x = (21 + 30x) + 8

Reorder the terms:
-3 + 2x = 21 + 8 + 30x

Combine like terms: 21 + 8 = 29
-3 + 2x = 29 + 30x

Solving
-3 + 2x = 29 + 30x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-30x' to each side of the equation.
-3 + 2x + -30x = 29 + 30x + -30x

Combine like terms: 2x + -30x = -28x
-3 + -28x = 29 + 30x + -30x

Combine like terms: 30x + -30x = 0
-3 + -28x = 29 + 0
-3 + -28x = 29

Add '3' to each side of the equation.
-3 + 3 + -28x = 29 + 3

Combine like terms: -3 + 3 = 0
0 + -28x = 29 + 3
-28x = 29 + 3

Combine like terms: 29 + 3 = 32
-28x = 32

Divide each side by '-28'.
x = -1.142857143

Simplifying
x = -1.142857143

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